49765957632 has 480 divisors, whose sum is σ = 161056358400. Its totient is φ = 15128985600.

The previous prime is 49765957627. The next prime is 49765957643. The reversal of 49765957632 is 23675956794.

49765957632 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 59 + 576 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49765957632.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260554657 + ... + 260554847.

It is an arithmetic number, because the mean of its divisors is an integer number (335534080).

Almost surely, 2^49765957632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49765957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80528179200).

49765957632 is an abundant number, since it is smaller than the sum of its proper divisors (111290400768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49765957632 is a wasteful number, since it uses less digits than its factorization.

49765957632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 49765957632 in words is "forty-nine billion, seven hundred sixty-five million, nine hundred fifty-seven thousand, six hundred thirty-two".